What is the Greatest Common Factor of 83814 and 83832?

Greatest common factor (GCF) of 83814 and 83832 is 6.

GCF(83814,83832) = 6

We will now calculate the prime factors of 83814 and 83832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83814 and 83832.

How to find the GCF of 83814 and 83832?

We will first find the prime factorization of 83814 and 83832. After we will calculate the factors of 83814 and 83832 and find the biggest common factor number .

Step-1: Prime Factorization of 83814

Prime factors of 83814 are 2, 3, 61, 229. Prime factorization of 83814 in exponential form is:

83814 = 2¹ × 3¹ × 61¹ × 229¹

Step-2: Prime Factorization of 83832

Prime factors of 83832 are 2, 3, 7, 499. Prime factorization of 83832 in exponential form is:

83832 = 2³ × 3¹ × 7¹ × 499¹

Step-3: Factors of 83814

List of positive integer factors of 83814 that divides 83814 without a remainder.

1, 2, 3, 6, 61, 122, 183, 229, 366, 458, 687, 1374, 13969, 27938, 41907

Step-4: Factors of 83832

List of positive integer factors of 83832 that divides 83814 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 499, 998, 1497, 1996, 2994, 3493, 3992, 5988, 6986, 10479, 11976, 13972, 20958, 27944, 41916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83814 and 83832. The biggest common factor number is the GCF number.
So the greatest common factor 83814 and 83832 is 6.

Also check out the Least Common Multiple of 83814 and 83832